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Finding the Fourth Proportional to 2,392.53, 3,302 and 1,344.59

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Solution

The fourth proportional to 2,392.53, 3,302 and 1,344.59 is: 1,855.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.53 : 3,302 = 1,344.59 : x
  2. Step 2: Convert to fraction form
    2,392.53/3,302 = 1,344.59/x
  3. Step 3: Cross multiply
    2,392.53x = 3,302 × 1,344.59
  4. Step 4: Simplify right side
    2,392.53x = 4,439,836.18
  5. Step 5: Solve for x
    x = 4,439,836.18/2,392.53
  6. Step 6: Final answer
    x = 1,855.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.